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Finding the Fourth Proportional to 912.17, 1,368.27 and 295.88

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Solution

The fourth proportional to 912.17, 1,368.27 and 295.88 is: 443.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.17 : 1,368.27 = 295.88 : x
  2. Step 2: Convert to fraction form
    912.17/1,368.27 = 295.88/x
  3. Step 3: Cross multiply
    912.17x = 1,368.27 × 295.88
  4. Step 4: Simplify right side
    912.17x = 404,838.00
  5. Step 5: Solve for x
    x = 404,838.00/912.17
  6. Step 6: Final answer
    x = 443.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.